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- W2576278165 abstract "We show that the approximate hyperplane series property consequence, we obtain that the class of spaces Y such that the pair (ℓ1,Y) has the Bishop–Phelps–Bollobás property for operators is stable under finite ℓp-sums for 1≤p<∞. We also deduce that every Banach space of dimension at least 2 can be equivalently renormed to have the AHSp but to fail Lindenstrauss’ property β. We also show that every infinite-dimensional Banach space admitting an equivalent strictly convex norm also admits such an equivalent norm failing the AHSp." @default.
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- W2576278165 date "2017-04-01" @default.
- W2576278165 modified "2023-10-16" @default.
- W2576278165 title "The approximate hyperplane series property and related properties" @default.
- W2576278165 doi "https://doi.org/10.1215/17358787-3819279" @default.
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